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Finding the Fourth Proportional to 110,403.38, 165,601.56 and 65,731.16

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Solution

The fourth proportional to 110,403.38, 165,601.56 and 65,731.16 is: 98,594.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,403.38 : 165,601.56 = 65,731.16 : x
  2. Step 2: Convert to fraction form
    110,403.38/165,601.56 = 65,731.16/x
  3. Step 3: Cross multiply
    110,403.38x = 165,601.56 × 65,731.16
  4. Step 4: Simplify right side
    110,403.38x = 10,885,182,636.61
  5. Step 5: Solve for x
    x = 10,885,182,636.61/110,403.38
  6. Step 6: Final answer
    x = 98,594.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.